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Finding the Third Proportional to 23,962.75 and 50,404.38

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Solution

The third proportional to 23,962.75 and 50,404.38 is: 106,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,962.75 : 50,404.38 = 50,404.38 : x
  2. Step 2: Convert to fraction form
    23,962.75/50,404.38 = 50,404.38/x
  3. Step 3: Cross multiply
    23,962.75x = 50,404.38 × 50,404.38
  4. Step 4: Simplify right side
    23,962.75x = 2,540,601,019.14
  5. Step 5: Solve for x
    x = 2,540,601,019.14/23,962.75
  6. Step 6: Final answer
    x = 106,022.93

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.